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Finding the Fourth Proportional to 31.23, 46.83 and 23.11

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Solution

The fourth proportional to 31.23, 46.83 and 23.11 is: 34.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.23 : 46.83 = 23.11 : x
  2. Step 2: Convert to fraction form
    31.23/46.83 = 23.11/x
  3. Step 3: Cross multiply
    31.23x = 46.83 × 23.11
  4. Step 4: Simplify right side
    31.23x = 1,082.24
  5. Step 5: Solve for x
    x = 1,082.24/31.23
  6. Step 6: Final answer
    x = 34.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.